354212000 has 96 divisors (see below), whose sum is σ = 921669840. Its totient is φ = 133324800.

The previous prime is 354211999. The next prime is 354212011. The reversal of 354212000 is 212453.

It can be written as a sum of positive squares in 8 ways, for example, as 130051216 + 224160784 = 11404^2 + 14972^2 .

It is a super-3 number, since 3×354212000³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 354212000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65396 + ... + 70604.

Almost surely, 2^354212000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460834920).

354212000 is an abundant number, since it is smaller than the sum of its proper divisors (567457840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354212000 is a wasteful number, since it uses less digits than its factorization.

354212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 354212000 is about 18820.5207154319. The cubic root of 354212000 is about 707.5455817669.

Adding to 354212000 its reverse (212453), we get a palindrome (354424453).

The spelling of 354212000 in words is "three hundred fifty-four million, two hundred twelve thousand".